en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8x^5y)^{1/3}

Solution

simplify

(8 x^{5} y)^{\frac{1}{3}}

Solution

2 x^{\frac{5}{3}} y^{\frac{1}{3}}

Solution steps

(8 x^{5} y)^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(8 x^{5} y)^{\frac{1}{3}} = 8^{\frac{1}{3}} (x^{5})^{\frac{1}{3}} y^{\frac{1}{3}}

= 8^{\frac{1}{3}} (x^{5})^{\frac{1}{3}} y^{\frac{1}{3}}

8^{\frac{1}{3}} = 2

= 2 (x^{5})^{\frac{1}{3}} y^{\frac{1}{3}}

Simplify

(x^{5})^{\frac{1}{3}} : x^{\frac{5}{3}}

= 2 x^{\frac{5}{3}} y^{\frac{1}{3}}

Popular Examples

6 \div \frac{1}{8}

simplify \sqrt[5]{y^6}simplify

simplify (1/81)^{-1/4}simplify

(\frac{1}{81})^{- \frac{1}{4}}

simplify 2+(-12)simplify

2 + (- 12)

simplify 19/57 simplify

\frac{19}{57}

Frequently Asked Questions (FAQ)

What is (8x^5y)^{1/3} ?
The solution to (8x^5y)^{1/3} is 2x^{5/3}y^{1/3}